On the Klein–Gordon oscillator in topologically charged Ellis–Bronnikov-type wormhole spacetime
Instituto Federal de Educação Ciência e Tecnologia do Maranhão, Campus Buriticupu, CEP, 65393-000, Buriticupu, Maranhão, Brazil
2 Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá, 66075-110, Belém, PA, Brazil
3 Department of Science and Technology, Larbi Tebessi University, 12000, Tebessa, Algeria
Accepted: 12 September 2021
Published online: 23 September 2021
In this article, we have investigated a bosonic relativistic quantum oscillator in a topologically charged Ellis–Bronnikov-type wormhole spacetime. Through a purely analytical mathematical analysis, we determine the lowest energy state of relativistic energy of this quantum oscillator, which is influenced by the considered background. This influence is explicit due to the dependence of the allowed values of the lowest energy state of the system by the parameters that represent the wormhole throat and the global monopole charge. In addition, we show that it is not possible to determine a mathematical expression to represent the relativistic energy spectrum of the system.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021